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Finding the Fourth Proportional to 677.71, 935.03 and 398.03

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Solution

The fourth proportional to 677.71, 935.03 and 398.03 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.71 : 935.03 = 398.03 : x
  2. Step 2: Convert to fraction form
    677.71/935.03 = 398.03/x
  3. Step 3: Cross multiply
    677.71x = 935.03 × 398.03
  4. Step 4: Simplify right side
    677.71x = 372,173.32
  5. Step 5: Solve for x
    x = 372,173.32/677.71
  6. Step 6: Final answer
    x = 549.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.